The number 42193
42193 is the 4411th prime number. Its only divisors are 1 and 42193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42193: the 4411th prime number.
- 2
42193 is prime, so its only factors are 1 and 42193. It is the 4411th prime; the next prime is 42197 and the one before is 42187.
- 3
The divisors add up to 42194; without 42193 itself that is 1, so 42193 is deficient (1 is less than 42193). Euler's totient φ(42193) = 42192 numbers up to 42193 share no factor with it.
- 4
The digits of 42193 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
42193 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42194 |
| Euler totient φ(n) | 42192 |
| Square | 1780249249 |
| Cube | 75114056563057 |
| Square root | 205.409347 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2193 × |
42193 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ninety-three |
| Binary (base 2) | 1010010011010001 |
| Octal (base 8) | 122321 |
| Hexadecimal (base 16) | A4D1 |
| Base 3 | 2010212201 |
| As time | 42193 seconds = 11 h 43 min 13 s |
Is 42193 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42193 a prime number?
Yes. 42193 is divisible only by 1 and itself.
What are the factors of 42193?
1, 42193.
What is 42193 in binary?
1010010011010001 (hexadecimal A4D1, octal 122321).
What is the square root of 42193?
About 205.4093.
Is 42193 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42193?
42193 is the 4411th prime number.